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Simplifying 56npz + 49nqc + 7npc + 392nqz = 0 Reorder the terms: 7cnp + 49cnq + 56npz + 392nqz = 0 Solving 7cnp + 49cnq + 56npz + 392nqz = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-56npz' to each side of the equation. 7cnp + 49cnq + 56npz + -56npz + 392nqz = 0 + -56npz Combine like terms: 56npz + -56npz = 0 7cnp + 49cnq + 0 + 392nqz = 0 + -56npz 7cnp + 49cnq + 392nqz = 0 + -56npz Remove the zero: 7cnp + 49cnq + 392nqz = -56npz Add '-392nqz' to each side of the equation. 7cnp + 49cnq + 392nqz + -392nqz = -56npz + -392nqz Combine like terms: 392nqz + -392nqz = 0 7cnp + 49cnq + 0 = -56npz + -392nqz 7cnp + 49cnq = -56npz + -392nqz Reorder the terms: 7cnp + 49cnq + 56npz + 392nqz = -56npz + 56npz + -392nqz + 392nqz Combine like terms: -56npz + 56npz = 0 7cnp + 49cnq + 56npz + 392nqz = 0 + -392nqz + 392nqz 7cnp + 49cnq + 56npz + 392nqz = -392nqz + 392nqz Combine like terms: -392nqz + 392nqz = 0 7cnp + 49cnq + 56npz + 392nqz = 0 Factor out the Greatest Common Factor (GCF), '7n'. 7n(cp + 7cq + 8pz + 56qz) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing c to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(cp + 7cq + 8pz + 56qz)' equal to zero and attempt to solve: Simplifying cp + 7cq + 8pz + 56qz = 0 Solving cp + 7cq + 8pz + 56qz = 0 Move all terms containing c to the left, all other terms to the right. Add '-8pz' to each side of the equation. cp + 7cq + 8pz + -8pz + 56qz = 0 + -8pz Combine like terms: 8pz + -8pz = 0 cp + 7cq + 0 + 56qz = 0 + -8pz cp + 7cq + 56qz = 0 + -8pz Remove the zero: cp + 7cq + 56qz = -8pz Add '-56qz' to each side of the equation. cp + 7cq + 56qz + -56qz = -8pz + -56qz Combine like terms: 56qz + -56qz = 0 cp + 7cq + 0 = -8pz + -56qz cp + 7cq = -8pz + -56qz The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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